anonymous
  • anonymous
integration of (sin^5x)*(cos^3x)dx
Mathematics
chestercat
  • chestercat
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hartnn
  • hartnn
split cos^3 x = cos x * cos^2 x write cos^2 x = 1- sin^2 x then its easy to see that u = sin x du =cos x dx.
anonymous
  • anonymous
so do you leave sin^5x as it is
hartnn
  • hartnn
yes, then you'll use it... s^5 (1-s^2) c dx [s=sin, c=cos]

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hartnn
  • hartnn
s^5 (1-s^2) c dx = (s^5 -s^7) cdx
anonymous
  • anonymous
ah i see how that tricked me i tried to think it was a half angle formula or something
hartnn
  • hartnn
so, now can you solve that integral ?
anonymous
  • anonymous
yea i can thanks a lot bro
hartnn
  • hartnn
welcome ^_^
anonymous
  • anonymous
math not my best subject :P
hartnn
  • hartnn
it became my best subject, after lot of practicing :)
anonymous
  • anonymous
1 question though can you split sin of x to solve also
hartnn
  • hartnn
yes,but that will be more complicated....but yes.
anonymous
  • anonymous
ah i see ty again
anonymous
  • anonymous
if i need help again asking you :P

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